What is the Square Root of 565?

Instant answer with step-by-step solution

√565 = 23.769728648
√565 = 23.769728648
⚠ 565 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √565 — a number that when multiplied by itself equals 565.
  2. 565 is not a perfect square. Its square root is irrational.
  3. It falls between √529 = 23 and √576 = 24.
  4. Using the formula √N = N^(1/2): √565 = 565^0.5 = 23.769728648
  5. Verification: 23.769728648 × 23.769728648 ≈ 565 ✓ (rounded to 10 significant figures)

Try another number

=

Related calculations

← Back to Square Root Calculator

Also see

Square Root Laws Square Root Chart Easiest Method Negative Square Roots